Question

(2 3/8-1 5/6):(-1 5/6)​

Answer 1

Ответ:

- 13/44

Пошаговое объяснение:

(2 3/8- 1 5/6):(-1 5/6)

1. 2 3/8-15/6=19/8-11/6=57/24-44/24=13/24

2.13/24:(-1 5/6) =13/24:(-11/6)=13/24×(-6/11) =-78/264=-13/44

Answer 2

To calculate the expression (2 3/8 - 1 5/6) / (-1 5/6), you'll first need to perform the subtraction and then the division. Let's break it down step by step:

1. Subtract 1 5/6 from 2 3/8: 2 3/8 - 1 5/6

First, find a common denominator for 8 and 6, which is 24. Then convert both fractions to have this common denominator:

2 9/24 - 1 20/24

Now, subtract the fractions:

2 - 1 = 1 (whole number part) 9/24 - 20/24 = -11/24

So, 2 3/8 - 1 5/6 = 1 - 11/24.

2. Now, divide the result by -1 5/6: (1 - 11/24) / (-1 5/6)

First, convert -1 5/6 to an improper fraction:

-1 5/6 = -11/6

Now, perform the division:

(1 - 11/24) / (-11/6)

To divide by a fraction, multiply by its reciprocal (flip it):

(1 - 11/24) * (-6/11)

Now, multiply the numerators and denominators separately:

[(1 * -6) - (11/24 * -6)] / 11

Simplify the expression:

(-6 + (-66/24)) / 11

Now, find a common denominator for -6 and -66/24, which is 24:

(-144/24 - 66/24) / 11

Combine the fractions:

(-210/24) / 11

Now, divide the fractions:

-210/24 ÷ 11

Reduce the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 6:

-35/4 ÷ 11

Now, divide:

-35/4 ÷ 11 = (-35/4) / 11 = -35/44

So, (2 3/8 - 1 5/6) / (-1 5/6) = -35/44.